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Finding the Fourth Proportional to 29,833, 44,753.82 and 9,056.52

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Solution

The fourth proportional to 29,833, 44,753.82 and 9,056.52 is: 13,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833 : 44,753.82 = 9,056.52 : x
  2. Step 2: Convert to fraction form
    29,833/44,753.82 = 9,056.52/x
  3. Step 3: Cross multiply
    29,833x = 44,753.82 × 9,056.52
  4. Step 4: Simplify right side
    29,833x = 405,313,865.91
  5. Step 5: Solve for x
    x = 405,313,865.91/29,833
  6. Step 6: Final answer
    x = 13,586.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.